Meshkov worked and published research in four fields of physics: Atomic, Nuclear, Elementary Particle, and Gravitational Wave Detection. In his Ph.D. Thesis, on the Theory of Complex Spectra, he developed new techniques for calculating N body matrix elements from 2 and 3 body matrix elements. He successfully applied these techniques to
nuclear spectroscopy and became proficient in shell model calculations. While on an extended visit at
Princeton University in 1960, working together with Carl Levinson and Manoj Banerjee, Meshkov learned about and then used
the group SU(3) to do dynamical calculations in Nuclear Spectroscopy. Meshkov continued the work on SU(3), collaborating with Levinson, at the Weizmann Institute in 1961–62. In the fall of 1961
Yuval Ne'eman returned to Israel, following completion of his Ph.D. with
Abdus Salam at
Imperial College London, in which he had developed the
Eightfold Way (physics) in work similar to research done independently by
Murray Gell-Mann. Since SU(3) was an integral part of this work, Levinson and Meshkov, later joined by
Harry Lipkin, used their knowledge of SU(3) to explore this new field. Together with Salam, they showed that the Eightfold Way was correct (instead of the older
Sakata model), invented the U-spin and V-spin subgroups of SU(3), and showed that the photon was a U-spin scalar. Meshkov also produced a set of useful SU(3) 8x8
Clebsch–Gordan coefficients. In the meantime, Meshkov, Snow, and
Yodh demonstrated the validity of SU(3) flavor symmetry in reaction analyses. Lipkin and Meshkov invented W-spin and SU(6)W, which allowed the combination of external and internal symmetries, for co-linear processes. Peter Kaus and Meshkov collaborated in a series of papers exploring quark structure, and extended this work to neutrinos. Meshkov's subsequent innovations include influential contributions to hadronic physics. Meshkov started working on
LIGO, in 1994; this is the detector that ultimately observed cosmic
gravitational waves. At the time, he was chair of the Aspen Center for Physics Winter Conferences. Together with Gary Sanders, he started the first Gravitational Wave Detection Conference in Aspen in 1995. This has evolved into a three-year cycle of GWADW conferences, rotating between the
United States,
Europe (in particular, the island of
Elba), and
Japan or
Australia. Until 2020, Meshkov was either chair or co-chair of these conferences to explore upgrades and possible new facilities and techniques for gravitational wave detection. == Recognition, awards, and honors ==